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    Sobolev-Poincaré implies John


    Buckley, S. and Koskela, P. (1995) Sobolev-Poincaré implies John. Mathematical Research Letters (MRL), 2 (5). pp. 577-594. ISSN 1073-2780

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    Official URL: http://math.ucsd.edu/~mrl/TOC/vol2/v25toc.pdf


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    Abstract

    We establish necessary conditions for the validity of Sobolev-Poincaré type inequalities. We give a geometric characterisation for the validity of this inequality for simply connected plane domains.

    Item Type: Article
    Keywords: Sobolev-Poincaré; John domains; Bojarski's theorem; Monotone Convergence Theorem.
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 1628
    Depositing User: Prof. Stephen Buckley
    Date Deposited: 03 Nov 2009 09:58
    Journal or Publication Title: Mathematical Research Letters (MRL)
    Publisher: International Press
    Refereed: Yes
    Funders: NSF Grant DMS-9207715., NSF Grant DMS-9305742, Academy of Finland
    URI:

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